The solution to f(x) = g(x), when the value of f(x) is -x and the value of function g(x) is x, is 0.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
The first function given as.
[tex]f(x) = -x[/tex]
The second function given as.
[tex]g(x)= x[/tex]
The value of f(x) = g(x), has to be found out. For this, we have to equate both the function as,
[tex]f(x) = g(x)\\-x=x\\0=x+x\\0=2x\\[/tex]
Divide both side of the equation with 0,
[tex]0=x\\x=0[/tex]
Thus, the solution to f(x) = g(x), when the value of f(x) is -x and the value of function g(x) is x, is 0.
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